Unit rate reasoning down

Answer:

  3x -5

Step-by-step explanation:

You want the algebraic expression for "5 is subtracted from the product of 3 and a number".

"The product of 3 and a number" is represented by 3x.

Subtraction is indicated by a minus sign. When 5 is subtracted from the product, the expression is written ...

  3x -5

Exactly 5/12 of a full rotation is 150, where full rotation is 360.

A "full rotation," "revolution," "whole turn," or "full circle" describes this. It entails spinning around till you are once again pointing in the same direction. a rotational movement. In rotation, there is a fixed central point around which everything else revolves in a circle. 360° is a "Full Rotation." Each point in a figure is transformed into a rotation by rotating it a specific amount of degrees around another point.

Given,

Number = 5/12

Full rotation = 360

5/12 of full rotation

5/12 × 360

5 × 30

150

Exactly 5/12 of a full rotation is 150, where full rotation is 360.

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In the given right angled triangle ABC, the value of x is equal to 10.7 (round to the nearest tenths place).

As given in the question,

In the triangle ABC,

Triangle ABC is right angled triangle with ∠C = 90°

Measure of angle A = 68degrees

AC = 4 units

AB = x units

Using trigonometric ratio,

cos 68° = AC / AB

⇒cos 68° = 4 / x

⇒ 0.3746 = 4 / x

⇒ x = 4 / 0.3746

⇒ x = 10.68

⇒ x = 10.7 ( round to the nearest tenths place)

Therefore, in triangle ABC , the value of x is equal to 10.7(round to the nearest tenths place).

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Answer:

5

Step-by-step explanation:

The amplitude of the graph of a function of the form [tex]a\cos(bx+c)-d[/tex] is [tex]|a|[/tex].

The number of pizza expected to be eaten is equal to the number of persons that attends the party and this is equal to 0.8gp/s

From the problem it can be deduced that

number of people invited to the party = g

number of people attending

= 80% of people invited to the party

= 80% of g

and 80% = 80 / 100 = 0.8

therefore,

= 0.8g

You estimate that your guests will each eat p pieces of pizza

= 0.8g * p

= 0.8gp

and each pizza has s slices

the number of slices = s

the number of pizza to be taken is  0.8gp/s

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Answer:

[tex]y=-\frac{1}{2}x+1[/tex]

Step-by-step explanation:

The slope of the line is [tex]\frac{5-0}{-8-2}=-\frac{1}{2}[/tex].

So, the equation is

[tex]y=-\frac{1}{2}(x-2) \\ \\ y=-\frac{1}{2}x+1[/tex]

Answer:  5 computers

Step-by-step explanation:

You would take the total amount collected and divide it by the cost of a computer.

3472/680=5.10

Since the number is not a whole number you would round down since you can not buy part of a computer. Therefore, the club can only buy 5 computers.

The inequality that best describes the value of the gift card is v ≥ 12

What is inequality?

An inequality in mathematics depicts the connection between two values in an algebraic statement that are not equal. One of the two variables on the two sides of the inequality may be greater than, greater than or equal to, less than, or less than or equal to another value, according to inequality signals.

The inequality above states that the gift card, v could have $12 or possibly more on it because we know the most expensive app his gift card can buy is $12.

The inequality that best describes the value of the gift card is v ≥ 12

He can buy apps that are worth greater than or equal to $12

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7.5 cups of tomato paste can be made from 25 pounds and 14 cups can make 46.67 pounds.

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

Given, it takes 10 pounds to make 3 cups of tomato paste.

Thus, with 1 pound, number of cups can be made is equal to (3/10) cups

Thus, using 25 pounds, number of cups can be made is equal to

(3/10)*25

= 7.5 cups

3 cups of tomato paste can be made from 10 pounds

1 cup of tomato paste can be made from (10/3) pounds

14 cups of tomato paste can be made from

(10/3)*14

= 46.67 pounds

Thus, 7.5 cups of tomato paste can be made from 25 pounds and 14 cups can make 46.67 pounds.

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Answer:

Step-by-step explanation:

sorry, i'm not a college student, so i don't know how to answer this.

Answer:

x=20

Step-by-step explanation:

both of these angles equal each other

3x+50=6x-10

-3x.      -3x

50= 3x-10

+10     +10

60=3x

/3. /3

20=x

hopes this helps please mark brainliest

The equivalent expressions are:

1. C. 1/15x - 14y

2. B. 2x - 4 - 10x + 15

3. The expression we can use are:

64 + 64(0.015)

4. The expressions that represent the sale price are:

0.7p

p - 0.3p

(1 - 0.3)p

If the simplest form of two expressions have the same value, then they are equivalent expressions.

1. Simplify 2/5x - 3y - 1/5x - 11y by combining like terms to determine the expression that is equivalent to it:

2/5x - 1/5x - 3y - 11y

1/15x - 14y

The answer is: C. 1/15x - 14y

2. Simplify 2(x - 2) - 5(2x - 3), by first opening the parentheses:

2x - 4 - 10x + 15

The equivalent expression is: B. 2x - 4 - 10x + 15

3. The percentage error allowed is 1.5% = 1.5/100 = 0.015.

Therefore, the expression we can use are:

64 + 64(0.015)

4. 30% is, 30/100 = 0.3.

Original price = p = $100.

0.3 of $100 = 0.3(100) = $30

Sale price = 70% of original price = 0.7(100) = $70.

Therefore, the expressions of the sale price of the bicycle are:

0.7p

p - 0.3p

(1 - 0.3)p

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Answer:

Step-by-step explanation:

Newton's method is an iterative method for finding the roots of a function, which means that it can be used to find the values of x that make a function equal to zero. It can also be used to find the maximum or minimum values of a function, but to do so you will need to find the derivative of the function and use that to determine where the maximum or minimum values occur.

The derivative of the function f(x) = 7x cos(x) is f'(x) = 7 cos(x) - 7x sin(x), and you can use this to find the maximum value of the function. To do this, you would need to find the values of x that make the derivative equal to zero, since the maximum or minimum values of a function occur at the points where the derivative is equal to zero.

To find the values of x that make the derivative equal to zero, you can use Newton's method, which involves starting with an initial guess for the value of x, and then using the derivative to find a better approximation for the value of x. This process is repeated until the desired level of accuracy is reached.

In your case, you could start by making an initial guess for the value of x that makes the derivative equal to zero. For example, you could start with x = 0 and then use the derivative to find a better approximation. This process would involve calculating the derivative at the initial guess, and then using that value to find a better approximation for the value of x. This process would be repeated until the desired level of accuracy is reached.

Once you have found the values of x that make the derivative equal to zero, you can plug those values back into the original function to find the maximum value of the function. This will give you the absolute maximum value of the function f(x) = 7x cos(x), 0 ≤ x ≤ , correct to six decimal places.

Answer: 8.1e+31

Step-by-step explanation:

Answer:

the answer to the division problem is `1x + 6` (a polynomial).

Step-by-step explanation:

To divide polynomials, we use the long division method. Here's how we can divide x² - 36 by x - 6:

x² - 36  |

--------

x - 6

First, we divide the leading coefficient of the numerator (which is 1) by the leading coefficient of the denominator (which is 1).

We get 1 / 1 = 1 as the first coefficient of our quotient.

x² - 36  |

--------

x - 6

  1

Then, we multiply the quotient by the denominator and subtract it from the numerator.

We get (1 * (x - 6)) = x - 6, and x² - 36 - (x - 6) = x² - x - 30.

x² - 36  |

--------

x - 6

  1

      x - 6

----------

 x² - x - 30

We repeat the process, dividing the leading coefficient of the new numerator (which is 1) by the leading coefficient of the denominator (which is 1).

We get 1 / 1 = 1 as the next coefficient of our quotient.

x² - 36  |

--------

x - 6

  1

      x - 6

----------

 x² - x - 30

   1

We multiply the quotient by the denominator and subtract it from the numerator.

We get (1 * (x - 6)) = x - 6, and x² - x - 30 - (x - 6) = x² - 2x + 24.

x² - 36  |

--------

x - 6

  1

      x - 6

----------

 x² - x - 30

   1

      x - 6

---------------

x² - 2x + 24

We repeat the process one more time, dividing the leading coefficient of the new numerator (which is 1) by the leading coefficient of the denominator (which is 1).

We get 1 / 1 = 1 as the next coefficient of our quotient.

x² - 36  |

--------

x - 6

  1

      x - 6

----------

 x² - x - 30

   1

      x - 6

---------------

x² - 2x + 24

   1

We multiply the quotient by the denominator and subtract it from the numerator.

We get (1 * (x - 6)) = x - 6, and x² - 2x + 24 - (x - 6) = x² - 3x + 18.

x² - 36  |

--------

x - 6

  1

      x - 6

----------

 x² - x - 30

   1

      x - 6

---------------

x² - 2x + 24

   1

      x - 6

------------------

x² - 3x + 18

Since the degree of the new numerator is less than the degree of the denominator, we have found the complete quotient.

So, the quotient is `1x + 6`, and the remainder is `x² - 3x + 18`.

Therefore, the answer to the division problem is `1x + 6` (a polynomial).

Answer:

x + 6

Step-by-step explanation:

[tex]\frac{x^{2} -36}{x-6}[/tex]

[tex]\frac{(x+6)(x-6)}{x-6}[/tex]

x + 6

Answer:

The square root of 75 can be written as √75. To simplify this expression, we can use the property that the square root of a product is equal to the product of the square roots of the factors. In this case, we can factor 75 as the product of 25 and 3:

√75 = √(25 x 3)

We can then apply the property of the square root of a product to simplify the expression:

√75 = √(25 x 3) = √25 x √3

We can further simplify the expression by applying the property that the square root of a perfect square is equal to the number itself. Since 25 is a perfect square, we can simplify √25 to 5:

√75 = √(25 x 3) = √25 x √3 = 5 x √3

Therefore, the simplified form of √75 is 5 x √3. This means that the square root of 75 is equal to 5 times the square root of 3.

Step-by-step explanation:

The equation y = 2x + 4 has the following missing value: 3.

The x and y values of an ordered pair whose values, if substituted into the equation, would make it true are the answer to the given equation.

According to the Given information

If the value of x is the missing value in the solution to the equation y = -2x + 4, and the solution is (x, -2) Hence, by adding y = -2 to the equation and solving for x, the value of x can be found:

-2 = -2x + 4

Take 4 away from both sides.

-2 - 4 = -2x + 4 - 4 (subtraction property of equality)

-6 = -2x

Add -2 to both sides.

-6/-2 = -2x/-2

3 = x

x = 3

The equation y = 2x + 4 has the following missing value: 3.

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Answer: C is the correct answer!I don't feel like explaining. sorry.Please let me know if I am wrong.

The value of the given expression is -6.93.

The question's expression is as follows:

minus 15 plus the amount negative 3 and 7 tenths + 9 and 15 hundredths at the end of the number divided by 5 times 3 squared less 4 and 7 tenths results in the answer.

Correctly reformat the expression

Thus, we have

-15 - 3.7 + 9.15/5 * 3^2 - 4.7

Calculate the exponent and quotient.

Thus, we have

-15 - 3.7 + 1.83 * 9 - 4.7

Consider the product

-15 - 3.7 + 16.47 - 4.7

Analyze the difference and the total.

-6.93

Consequently, -6.93 is the value of the supplied equation (none of the options is correct)

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One centimeter is equivalent to 10 millimeters.  

Converting the cm to mm

10mm:10mm

The scale factor is 1:1 because the two are equal

Hope this helps :)

If you need any more explanation, feel free to ask.  If this really helps, consider marking brainliest.

- Jeron

Answer:

1686 euro/m²

Step-by-step explanation:

$192/ft² × euro/$1.225 × (3.28 ft)²/(1 m)² = 1686 euro/m²

If the two functions be g(x) = x + 2 and h(x) = 3x - 3 then

(h - g)(x) = 2x - 5

(h + g)(x) = 4x - 1

(h . g)(1)  = 3x² + 3x - 6

A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations. Mathematicians can multiply, divide, add, or subtract. An expression is structured as follows: (Math Operator, Number/Variable, Math Operator) is an expression.

Mathematical expressions are built using the addition, subtraction, multiplication, and division operations.

Let the two functions be g(x) = x + 2 and h(x) = 3x - 3

(h - g)(x) = h(x) - g(x)

substitute the value expressions in the above equation, we get

= (3x - 3) - (x + 2)

= 2x - 5

(h + g)(x) = h(x) + g(x)

= (3x - 3) + (x + 2)

= 4x - 1

(h . g)(1) = h(1) . g(1)

= (3x - 3) . (x + 2)

= 3x² + 3x - 6

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The cost of turkey per pound is $1.35 and the equation which represents the situation is 19x - 25.65  = 0.

What is the linear equation?

An algebraic equation of the form y=mx+b is referred to as a linear equation. m is the slope, and b is the y-intercept, and all that is involved is a constant and a first-order (linear) term. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

We have,

19 turkey pound

$25.65

the cost of turkey per pound?

so,

25.65 / 19 = 1.35

the cost of turkey per pound is $1.35.

The equation becomes:

let's take x = $1.35

19x - 25.65  = 0

Hence, the cost of turkey per pound is $1.35 and the equation which represents the situation is 19x - 25.65  = 0.

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Answer:

  C)  Always

Step-by-step explanation:

You want to know the values of x for which y is negative, given that y = -|x -2| -4.

The absolute value function always returns a non-negative value. Its minimum value is 0, which will occur for x=2 in this function.

When the absolute value function is negated, as here, the largest the result can be is zero—for any value of x. When 4 is subtracted from that, the largest the value of y can be is -4, again, for any value of x.

  y is always less than 0.

The attached graph should help you see the vertex (maximum) of the function is (2, -4), and it opens downward. It is negative for all values of x.

Answer: 402

Step-by-step explanation:

Solution of equation 3x² = -2x+ 4 using the quadratic formula x = -1± √13/3.

The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the general form ax² + bx + c = 0. where a, b, and c are numerical coefficients and x is an unknown variable. Due to the fact that the Latin word quadratum, which means "square," and the fact that the area of a square with side length x is equal to x², a polynomial equation with exponent two is referred to as a quadratic ("square-like") equation.

Given,

Equation

3x² = -2x+ 4

3x² + 2x - 4 = 0

Using quadratic formula,

x = -2 ± √2²- 4 × 3(-4)/ 2× 3

Simplifying:

x = -2 ± 2√13/6

Equations:

x = -2 + 2√13/6

x = -2 - 2√13/6

x = -1 + √13/3

x = -1 - √13/3

x = -1± √13/3

Solution of equation 3x² = -2x+ 4 using the quadratic formula x = -1± √13/3.

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The coordinates of S(x₁, y₁)=(3/2 , 5) if F(0, 2) and G(2,6) and the lines divided in the ratio 1:3

Finding the ratio by which a line segment is divided by a point internally or externally in coordinate geometry is done using the Section formula. The centroid, incenter, and ex center of a triangle are determined using it. Finding systems' centers of mass, equilibrium locations, etc. are all done using this method in physics. Finding the ratio by which a line segment is divided by a point internally or externally in coordinate geometry is done using the Section formula. The centroid, incenter, and ex center of a triangle are determined using it.

Given,

F(0, 2) and G(2, 6)

And also given that the points S lies on the way along FG then:

The lines divides the ratio,

1:3= m:n

Here we have to find the coordinates of S, we get:

S(x₁, y₁)=((mx₁+n x₂)/(m+ n), (my₁+n y₂)/(m+ n))

=((1(0)+3(2))/4 , (1(2)+3(6))/4)

=(6/4 , 20/4)

=(3/2 , 5)

S(x₁, y₁)=(3/2 , 5)

Therefore, the coordinates of S(x₁, y₁)=(3/2 , 5).

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